17125648225 has 27 divisors (see below), whose sum is σ = 24709482387. Its totient is φ = 11740160880.

The previous prime is 17125648219. The next prime is 17125648229. The reversal of 17125648225 is 52284652171.

The square root of 17125648225 is 130865.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6165233361 + 10960414864 = 78519^2 + 104692^2 .

It is not a de Polignac number, because 17125648225 - 2¹⁹ = 17125123937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17125648229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4578406 + ... + 4582144.

Almost surely, 2^17125648225 is an apocalyptic number.

17125648225 is the 130865-th square number.

17125648225 is the 65433-rd centered octagonal number.

It is an amenable number.

17125648225 is a deficient number, since it is larger than the sum of its proper divisors (7583834162).

17125648225 is an frugal number, since it uses more digits than its factorization.

17125648225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 3751 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The spelling of 17125648225 in words is "seventeen billion, one hundred twenty-five million, six hundred forty-eight thousand, two hundred twenty-five".